exercise:31456f90d9: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A box has numbers from 1 to 10. A number is drawn at random. Let <math>X_1</math> be the number drawn. This number is replaced, and the ten numbers mixed. A second number <math>X_2</math> is drawn. Find the distributions of <math>X_1</math> a...") |
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A box has numbers from 1 to 10. A number is drawn at random. Let <math>X_1</math> be the number drawn. This number is replaced, and the ten numbers mixed. A second number <math>X_2</math> is drawn. Find the distributions of <math>X_1</math> and <math>X_2</math>. Are | |||
<math>X_1</math> be the number drawn. This number is replaced, and the ten numbers mixed. A second | |||
number <math>X_2</math> is drawn. Find the distributions of <math>X_1</math> and <math>X_2</math>. Are | |||
<math>X_1</math> and <math>X_2</math> independent? Answer the same questions if the first number is not replaced | <math>X_1</math> and <math>X_2</math> independent? Answer the same questions if the first number is not replaced | ||
before the second is drawn. | before the second is drawn. | ||
Latest revision as of 01:04, 13 June 2024
A box has numbers from 1 to 10. A number is drawn at random. Let [math]X_1[/math] be the number drawn. This number is replaced, and the ten numbers mixed. A second number [math]X_2[/math] is drawn. Find the distributions of [math]X_1[/math] and [math]X_2[/math]. Are [math]X_1[/math] and [math]X_2[/math] independent? Answer the same questions if the first number is not replaced before the second is drawn.